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Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 , where v is the ship's kg m velocity, Vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?

Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 , where v is the ship's kg m velocity, Vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 where v is the ship's kg velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 m S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec? a. Express the distance the ship will coast before reaching a complete stop in terms of v, Vo. k. m, and t Distance (Simplify your answer.) before it is dead in the water. The ship will coast (Round to the nearest tenth as needed.) C m b. Express the time it will take the ship's speed to drop to 2 S in terms of v, vo, k, and m.
Transcribed Image Text:Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 where v is the ship's kg velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 m S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec? a. Express the distance the ship will coast before reaching a complete stop in terms of v, Vo. k. m, and t Distance (Simplify your answer.) before it is dead in the water. The ship will coast (Round to the nearest tenth as needed.) C m b. Express the time it will take the ship's speed to drop to 2 S in terms of v, vo, k, and m.
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